11124112032 has 144 divisors (see below), whose sum is σ = 34549351200. Its totient is φ = 3367104000.

The previous prime is 11124112007. The next prime is 11124112063. The reversal of 11124112032 is 23021142111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11124111996 and 11124112014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4120219 + ... + 4122917.

It is an arithmetic number, because the mean of its divisors is an integer number (239926050).

Almost surely, 2^11124112032 is an apocalyptic number.

11124112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11124112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17274675600).

11124112032 is an abundant number, since it is smaller than the sum of its proper divisors (23425239168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11124112032 is a wasteful number, since it uses less digits than its factorization.

11124112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11124112032 its reverse (23021142111), we get a palindrome (34145254143).

The spelling of 11124112032 in words is "eleven billion, one hundred twenty-four million, one hundred twelve thousand, thirty-two".